For both of the secluded WIMP model parameters that we consider here, our calculated values for the cross sections for WIMP-proton scattering are consistent with the present experimental upper limits obtained by the XENON100 and LUX experiments [1]}. The WIMP-neutron cross sections are suppressed. It is anticipated that by 2020 liquid xenon detectors will have the capability to measure spin independent cross sections as low as \(\cal {O}\)\((10^{-48})\)  cm\(^2\)  [2]}. Should future laboratory results yield a very small constraint on the WIMP elastic scattering cross section, the DM annihilation hypothesis for explaining the \(\gamma \) -ray excess from the galactic center region would then favor a secluded WIMP model for the dark matter.
